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| Section | Weight | Objectives |
|---|
| Systems of Equations and Inequalities | 15% | - Applications of systems - Solving by substitution and elimination - Graphical solutions
|
| Exponents, Radicals, and Quadratic Relationships | 15% | - Basic quadratic graphs - Solving quadratic equations - Simplifying radical expressions - Properties of exponents
|
| Graphing and Functions | 25% | - Function notation and evaluation - Slope and equations of lines - Linear functions and their graphs - Coordinate plane and plotting points
|
| Linear Equations and Inequalities | 25% | - Solving single-variable equations - Real-world applications - Solving and graphing inequalities
|
| Algebraic Expressions and Operations | 20% | - Simplifying and evaluating expressions - Operations with polynomials - Variables, constants, and coefficients - Order of operations
|
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WGU Applied Algebra FXO2 PFXP C957 Sample Questions (Q118-Q123):
NEW QUESTION # 118
A coach is placing an order for team shirts. The graph shows the total cost based on the number of shirts.

What is the cost of each additional shirt?
- A. $17.30
- B. $3.30
- C. $47.00
- D. $14.00
Answer: D
Explanation:
This question asks for the cost of each additional shirt, which means we need to find the rate of change of the linear function.
On a graph, the rate of change is the slope:
" slope " = " change in total cost " / " change in number of shirts "
From the graph, two labeled points are:
(0#33)
and
(10#173)
This means:
When 0shirts are ordered, the cost is $33.
When 10shirts are ordered, the cost is $173.
Now find the slope:
m=(173-33)/(10-0)
m=140/10
m=14
So the cost increases by:
$14
for each additional shirt.
The $33represents a fixed starting cost, not the cost per shirt.
NEW QUESTION # 119
The graph shows the number of people at an event venue after 3:00 p.m., in thousands.
Which rate of change is the greatest?

- A. The instantaneous rate of change at point D
- B. The instantaneous rate of change at point C
- C. The average rate of change from point C to point D
- D. The average rate of change from point A to point C
Answer: B
Explanation:
This graph represents a logistic growth function, which has an S-shaped curve:
Slow growth at the beginning (near point A)
Rapid growth in the middle (near point B and C)
Slowing growth at the end (near point D)
Key Concept:
Instantaneous rate of change = slope of the tangent line at a single point Average rate of change = slope between two points Analyze the graph:
At point A # slope is small (slow increase)
From A to C # increasing but not maximum
At point C # curve is steepest # maximum slope
From C to D # curve flattens # smaller slope
At point D # slope is very small (almost flat)
Conclusion:
The greatest rate of change occurs where the graph is steepest, which is at:
" Point C "
NEW QUESTION # 120
The number of employees under supervisor B is 13 more than the number of employees under supervisor A.
Let F(n)represent the number of employees under the two supervisors, where nis the number of employees under supervisor A and Fis the number of employees under supervisor B.
Which is the correct function to represent this relationship?
- A. F(n)=n+13
- B. F(n)=n/13
- C. F(n)=n-13
- D. F(n)=13n
Answer: A
Explanation:
We are told that supervisor B has 13 more employees than supervisor A.
Let:
n= " number of employees under supervisor A "
and
F(n)= " number of employees under supervisor B "
The phrase "13 more than" means we add 13:
F(n)=n+13
So, if supervisor A has nemployees, supervisor B has 13 additional employees.
For example, if supervisor A had 20 employees, then supervisor B would have:
F(20)=20+13=33
Therefore, the correct answer is:
# ( " C " )
NEW QUESTION # 121
Consider the graph of x(t) shown. The function represents the number of users, x, watching a live video t hours after 9:00 a.m.

Which interval represents a range of values for which the number of users is decreasing slower and slower?
- A. t=11.6 to t=11.8
- B. t=6.8 to t=7.4
- C. t=0.3 to t=0.8
- D. t=4.9 to t=9.2
Answer: B
Explanation:
To describe "decreasing slower and slower," the graph must be moving downward while becoming less steep.
This means the function values are decreasing, but the rate of decrease is becoming smaller in magnitude. On the graph of x(t), the number of users first increases, then decreases after reaching a local maximum. The interval from t=6.8 to t=7.4 lies on a decreasing part of the curve where the graph is beginning to flatten compared with the steeper earlier decrease. That behavior means the number of users is still going down, but not as quickly as before. The other intervals either occur while the graph is increasing or include behavior that does not consistently match decreasing slower and slower. Therefore, the correct answer is C.
NEW QUESTION # 122
The scatterplot shows data on the popularity of a blog post over time. The graphed regression function has an r2value of 0.42.

Is it appropriate to make a prediction for the number of daily blog post views after 12.4 days?
- A. No. The r2value indicates a moderate fit, but x=12.4 is more than 25% of the range beyond the maximum value.
- B. Yes. The r2value indicates a moderate fit, and x=12.4 is within 25% of the range of the maximum value.
- C. No. The r2value indicates a strong fit, but x=12.4 is more than 50% of the range beyond the maximum value.
- D. Yes. The r2value indicates a strong fit, and x=12.4 is within 50% of the range of the maximum value.
Answer: A
Explanation:
Explanation:The regression model has r2=0.42, which indicates a moderate fit. This means the model captures some of the pattern in the data, but it is not strong enough to support distant predictions. The proposed prediction is for x=12.4 days, which lies beyond the largest observed x-value in the scatterplot. Since the model is only moderate, acceptable extrapolation must remain close to the original data range. The value x=12.4 is more than 25% of the range beyond the maximum observed value, so it is too far outside the data for a reliable prediction. Therefore, the prediction is not appropriate. The correct answer is B.
NEW QUESTION # 123
......
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